In this article, a brief explanation of the operation of quantum computing is presented so that simulations can be presented that exemplify the differences between the processing times of a quantum computer and a classical computer when using the same program. It was used a software that provides a portion of a quantum computer, with a command interface in Python language, in this case Azure Quantum, that was made by IBM, and a classic computer with the Visual Studio Code software for the comparison between processing speeds and efficiency, both being tested with the program that calculates areas of a definite Riemann integral with the trapezoid method.